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Finding the Fourth Proportional to 205,642.20, 308,232.90 and 105,763.80

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Solution

The fourth proportional to 205,642.20, 308,232.90 and 105,763.80 is: 158,527.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,642.20 : 308,232.90 = 105,763.80 : x
  2. Step 2: Convert to fraction form
    205,642.20/308,232.90 = 105,763.80/x
  3. Step 3: Cross multiply
    205,642.20x = 308,232.90 × 105,763.80
  4. Step 4: Simplify right side
    205,642.20x = 32,599,882,789.02
  5. Step 5: Solve for x
    x = 32,599,882,789.02/205,642.20
  6. Step 6: Final answer
    x = 158,527.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.